Save up to 30% on Elsevier print and eBooks with free shipping. No promo code needed.
Save up to 30% on print and eBooks.
Cubic Forms
Algebra, Geometry, Arithmetic
2nd Edition, Volume 4 - February 1, 1986
Author: Yu.I. Manin
Language: English
eBook ISBN:9780080963167
9 7 8 - 0 - 0 8 - 0 9 6 3 1 6 - 7
Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has…Read more
Purchase options
LIMITED OFFER
Save 50% on book bundles
Immediately download your ebook while waiting for your print delivery. No promo code is needed.
Since this book was first published in English, there has been important progress in a number of related topics. The class of algebraic varieties close to the rational ones has crystallized as a natural domain for the methods developed and expounded in this volume. For this revised edition, the original text has been left intact (except for a few corrections) and has been brought up to date by the addition of an Appendix and recent references.The Appendix sketches some of the most essential new results, constructions and ideas, including the solutions of the Luroth and Zariski problems, the theory of the descent and obstructions to the Hasse principle on rational varieties, and recent applications of K-theory to arithmetic.
CH-Quasigroups and Moufang Loops. Classes of Points on Cubic Hypersurfaces. Two-Dimensional Birational Geometry. The Twenty-Seven Lines. Minimal Cubic Surfaces. The Brauer-Grothendieck Group. Appendix: Algebraic Varieties Close to the Rational Ones. Algebra, Geometry, Arithmetic. Galois Cohomology, Picard Groups and Birational Geometry. The Hasse Principle and Descent on Rational Varieties. Geometry of Rational Surfaces. Complements. The Luroth Problem and the Zariski Problem in Dimension 3. Rational Points and Equivalence Relations. Cubic Surfaces and Commutative Loops (CML). References. Subject Index.